June 2018 Paper 2 Q4

AQAOld spec1 markCircle Theorems

4 \(A\), \(B\), \(C\) and \(D\) are points on a circle, centre \(O\).

Circle centre O with A, B, C and D on the circumference; angle BAD marked x, angle BOD marked w, and angle y at C between CD and the extension of BC beyond C

Which statement is correct?

Tick one box. [1 mark]

  • \(x + y = 180^\circ\) and \(w = 2x\)
  • \(x + y = 180^\circ\) and \(x = 2w\)
  • \(x = y\) and \(w = 2x\)
  • \(x = y\) and \(x = 2w\)
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